Springer Science & Business Media, Mar 2, 2009 - Science - 461 pages
"An elegantly written, introductory overview of the field, with a near perfect choice of what to include and what not, enlivened in places by historical tidbits and made eminently readable throughout by crisp language. It has succeeded in doing the near-impossible—it has made a subject which is generally inhospitable to nonspecialists because of its ‘family jargon’ appear nonintimidating even to a beginning graduate student."
—The Journal of the Indian Institute of Science
"The book under review gives a comprehensive treatment of basically everything in mathematics that can be named multivalued/set-valued analysis. It includes...results with many historical comments giving the reader a sound perspective to look at the subject...The book is highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis."
"I recommend this book as one to dig into with considerable pleasure when one already knows the subject...‘Set-Valued Analysis’ goes a long way toward providing a much needed basic resource on the subject."
—Bulletin of the American Mathematical Society
"This book provides a thorough introduction to multivalued or set-valued analysis...Examples in many branches of mathematics, given in the introduction, prevail [upon] the reader the indispensability [of dealing] with sequences of sets and set-valued maps...The style is lively and vigorous, the relevant historical comments and suggestive overviews increase the interest for this work...Graduate students and mathematicians of every persuasion will welcome this unparalleled guide to set-valued analysis."
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Many of the original research and survey monographs in pure and applied mathematics published by Birkh ̈auser in recent decades have been groundbreaking and have come to be regarded as foundational to the subject.
Library of Congress Control Number: 2008939076 Mathematics Subject Classification (1985): 26A27, 26A51, 26E25, 28B20, 28D05, 34A60, 49A52, 54C60, 54C65, 58C06, 58C07, 58C30, 93C15, 93C30 c 2009 Birkh ̈auser Boston, a part of Springer ...
Pierre de Fermat" Fermat was one of the most important innovators in the history of mathematics. ... which remains the main strategy for obtaining necessary conditions of op- timality, from mathematical programming to calculus of ...
This strong conviction — born out of accumulated experience in using it in control theory and differential games, mathematical economics and game theory, biomathematics, qualitative physics and viability theory — led us to devote time ...
Hence, set- valued analysis inherited the undeserved image of being something difficult and mysterious and, consequently, was regarded as a mathematical curiosity, to be left in the hands of mathematicians who like to generalize for the ...